The Collected Mathematical Papers of Arthur Cayley

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By Arthur Cayley

Published 1889
The University Press

Original from the University of Michigan

Digitized Nov 23, 2005

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Contents

On a Theorem in the Geometry of Position	1
dxdy, symbolical, equation
On certain Definite Integrals	13
dxdy, integrals, equation
On certain Expansions in series of Multiple Sines and Cosines	19
expansible, cosines, sines
On the Intersection of Curves	25
polynômes, chasles, hexagon
On a class of Differential Equations and on the Lines	36
symbolical, theorem, deduced
Demonstration of Pascals Theorem	43
asymptotes, intersect, lemma

Chapters in the Analytical Geometry of n Dimensions	55
derivational, reciprocals, cauchy
On the Theory of Determinants	72
permutations, inversions, determinants
On the Theory of Linear Transformations	80
coefficients, boole, inclusively
On Linear Transformations	95
uvwx, differentiations, derivatives
Note sur deux Formules données par MM Eisenstein et Hesse	113
elliptic, paper
On the Inverse Elliptic Functions	136
numerators, factorial, œuvres
Mémoire sur les Fonctions doublement périodiques	156

Mémoire sur les Courbes du Troisième Ordre	183

Nouvelles remarques sur les Courbes du Troisième Ordre	190

Addition à la Note sur quelques Intégrales Multiples	204

Mémoire sur les Courbes à double Courbure et les Surfaces	30
uvwx, asymptotes, differential coefficients
On Homogeneous Functions of the Third Order with Three Vari	230
skew, torsion, curvature
On the Rotation of a Solid Body round a Fixed Point	237
invariable, axes, rotation
Note on a Geometrical Theorem contained in a Paper	253
diametral, confocal, ellipsoid
On the Theory of Involution in Geometry	259
rmnp, courbes, involution
On certain Formulas for Differentiation with applications to	267
slight reduction
On the Caustic by Reflection at a Circle	273
quadratures, jacobi, dynamical
On a Multiple Integral connected with the Theory of Attractions	285
algebraical, numerator, denominator
Sur quelques Formules du Calcul Intégral	309

Sur quelques Théorèmes de la Géométrie de Position	317

Problème de Géométrie Analytique	329

Recherches sur lElimination et sur la Théorie des Courbes	337

Démonstration of a Geometrical Theorem of Jacobis	362
grelle, confocal, abelian
On the Theory of Elimination	370
rows, quotient, horizontal rows
On Geometrical Reciprocity	377
tangents, polars, conic
On an Integral Transformation	383

Nouvelles Recherches sur les Fonctions de M Sturm	392

Note sur les Fonctions Elliptiques	402
rotations, axes, moveable
Sur les Déterminants Gauches	410

Note sur les Fonctions du Second Ordre	421
hyperboloids, permutation, inversions
On the Simultaneous Transformation of Two Homogeneous	428
ellipsoid, hyperboloid, hexahedron
On the order of certain Systems of Algebraical Equations	457
extraneous, posteriori, ratios
On a System of Equations connected with Malfattis Problem	465
malfatti, radii, triangle
Sur quelques Transmutations des Lignes Courbes	471

On thé Triadic Arrangements of Seven and Fifteen Things	481
developable, triads, duad
Note on a Family of Curves of the Fourth Order	496
developable, regression, double points
87 Notes on Elliptic Functions from Jacobi	507
signification, contiguous, attraction
Note sur quelques Formules relatives aux Coniques	519

Note sur un Système de certaines Formules	532

Note sur lAddition des Fonctions Elliptiques	540

Note sur quelques Théorèmes de la Géométrie de Position	550

Mémoire sur les Coniques inscrites dans une même Surface	557

GEOMETRY	1
multiplying, distances, whence
Theory of algebraical curves	10
sines
Lines of curvature of ellipsoid	36
deduced
Pascals theorem	43
lemma, curves intersect, reduce itself
Centres of similitude of quadric surfaces	51
courbes, cauchy, given curve
Theorem of Jellett Attraction and surface of ellipsoid	64
side becomes
Quadric surfaces	71
ïï, position whatever, analogous function
Developable from two quadric surfaces	84
filli, quadratic, symmetrical
Formulée for two conies	90
boole, substitutions, symmetrical
Conies inscribed in a quadric surface	96

ANALYSIS	1
definite integral
Expansions in multiple sines and cosines	21

Differential equations	35

Lagranges theorem	41

Quaternions	125
factorial, imaginary ones
Maxima and minima	228
diametral, rmnp, involution
Differentiation	268
grelle, octuple, algebraical
Legendres coefficients	375
conic, conies, corresponding lines
Arrangements	415
triads, duad, hexahedron
Systems of equations	512
signification, contiguous, divide

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JSTOR: The Collected Mathematical Papers of Arthur Cayley
59 THE COLLECTED MATHEMATICAL PAPERS OF ARTHUR CAYLEY. By GEORGE BRUCE HALSTED, University of Texas, Austin, Texas. [4to. 13 Vols., each $6.25. ...
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Internet Archive: Details: The collected mathematical papers of ...
The collected mathematical papers of Arthur Cayley (Volume 4) (1889-1897). The collected mathematical papers of Arthur Cayley (1889-1897) ...
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The collected mathematical papers of Arthur Cayley : supplementary volume containing titles of papers and index. By:, Arthur Cayley ...
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The collected mathematical papers of Arthur Cayley (Volume 3) by Forsyth; The collected mathematical papers of Arthur Cayley (Volume 4) by Forsyth ...
2020ok.com/ tags/ cayley.htm

A Simplified Kinetic Element Formulation for the Rotation of a ...
A SIMPLIFIED KINETIC ELEMENT FORMULATION FOR THE. ROTATION OF A PERTURBED MASS-ASYMMETRIC RIGID BODY. JASON W. MITCHELL. 1. and DAVID L. RICHARDSON ...
www.springerlink.com/ index/ L1828123L33V07R8.pdf

ocred document
Page 1. IEEE TRANSACTIONS ON AUTOMATIC CONTROL. VOL. 35. NO. 3. MARCH 1990. 317. 0018-9286/90/0300-0317$01,00 © 1990 IEEE. [4] pl lao. ...
ieeexplore.ieee.org/ iel4/ 9/ 1840/ 00050345.pdf?arnumber=50345

Limit Theorems for Random Trees L Takacs doi:10.1073/pnas.89.11 ...
Limit Theorems for Random Trees. L Takacs. doi:10.1073/pnas.89.11.5011. 1992;89;5011-5014. PNAS. This information is current as of March 2007. ...
www.pnas.org/ cgi/ reprint/ 89/ 11/ 5011.pdf

Books.musicabona.Cz | Essays
Cayley Arthur: The Collected Mathematical Papers of Arthur Cayley.Vol. 1 Pevná vazba, 612 stran University of Michigan Library, leden 2001 ...
books.musicabona.cz/ catalog/ Essays.2400.html

arxiv:cond-mat/0610850 v1 30 Oct 2006
in The collected mathematical papers of Arthur Cayley,. Cambridge [Eng.] The University Press, Cambridge, vol. 2, pp. 19 (1889). ...
arxiv.org/ pdf/ cond-mat/ 0610850

Evans, Pitman: Construction of Markovian coalescents
(Also in The Collected Mathematical Papers of Arthur CAYLEY. Vol. Pas de chiffrexiii, pp. 26- 28, Cambridge University Press, 1897). [14] da DAWSON. ...
www.numdam.org/ numdam-bin/ fitem?id=AIHPB_1998__34_3_339_0

References from books

The Development of Peirce's Philosophy - Page 188
by Murray G. Murphey - 1993
20 Hamilton alone seems to have recognized this, but for years he was unable to discover the algebra. One day while out walking, the solution suddenly came to him, ...
Limited preview - Table of Contents - About this book

Philosophy of Geometry from Riemann to Poincare - Page 422
by Roberto Torretti - 1978
Includes index.
Limited preview - Table of Contents - About this book

Bibliography of Non-Euclidean Geometry: Including the Theory of Parallels, the Foundation of ...
by Duncan MacLaren Young Sommerville - 1911 - 403 pages
Page 90
No preview available

Other editions

The Collected Mathematical Papers of Arthur Cayley
by Arthur Cayley - 1890
Vol. 8-13, ed. by A. R. Forsyth.
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The Collected Mathematical Papers of Arthur Cayley
by Arthur Cayley - 1891
Vol. 8-13, ed. by A. R. Forsyth.
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The Collected Mathematical Papers of Arthur Cayley
by Arthur Cayley - 1896
Vol. 8-13, ed. by A. R. Forsyth.
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References from scholarly works

Commentary On An Unpublished Lecture By Gn Watson On Solving The ...
Bruce C Berndt, Blair K Spearman, Kenneth S Williams

America's first school of mathematical research: James Joseph ...
Karen Hunger Parshall - 1988 - Archive for History of Exact Sciences

Analyse, Vergleich und Simulation der embryonalen Zellstammlinien ...
Volker Braun

A Concise History Of Analytical Accounting: Examining The Use Of ...
Richard Mattessich

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